Euler's formula for Zeta-function

Leonhard Euler (b. 1707)

Euler's formula for Zeta-function 1740

The Riemann zeta function is defined as the analytic continuation of the function defined for σ > 1 by the sum of the preceding series.

$$\sum\limits_{n=1}^{\infty} \frac{1}{n^{s}} = \prod\limits_{p} \frac{1}{1 - \frac{1}{p^s}}$$

Resources:

• Euler's formula for Zeta-function